Question

A farmer is concerned that a change in fertilizer to an organic variant might change his crop yield. He subdivides his six lots and uses the old fertilizer on one half of each lot and the new fertilizer on the other half. The following table shows the results.

Lot	Crop Yield Using Old Fertilizer	Crop Yield Using New Fertilizer
1	10	12
2	11	10
3	10	13
4	9	9
5	12	11
6	11	12

Using 5% significance level, which of the following is an appropriate conclusion that supports or does not support the farmer’s claim?

• Do not reject H₀: µ_D = 0 and therefore do not conclude that the crop yield with the new fertilizer is not significantly different from the crop yield with the old fertilizer.

• Reject H₀: µ_D = 0 and therefore conclude that the crop yield with the new fertilizer is not significantly different from the crop yield with the old fertilizer.

• Do not reject H₀: µ_D = 0 and therefore conclude that the crop yield with the new fertilizer is not significantly different from the crop yield with the old fertilizer.

• Reject H₀: µ_D = 0 and therefore do not conclude that the crop yield with the new fertilizer is not significantly different from the crop yield with the old fertilizer.

Answer 1